Question

Simplify the following expression using suitable identities.
$(3 \sqrt{2} + 7 \sqrt{3} ) + ( \sqrt{2} - 5 \sqrt{3} )$
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Answer 1

$(3 \sqrt{2} + 7 \sqrt{3} )+ ( \sqrt{2} - 5 \sqrt{3} )$

$\red⇝(3 \sqrt{2} + 7 \sqrt{3} )+ ( \sqrt{2} - 5 \sqrt{3} ) \\ \red⇝ 3 \sqrt{2} + 7 \sqrt{3} + \sqrt{2} - 5 \sqrt{3} \\ \red⇝3 \sqrt{2} + \sqrt{2} + 7 \sqrt{3} - 5 \sqrt{3} \\ \red⇝\green{4 \sqrt{2}} \green+\green {2 \sqrt{3}}$

Answer 2

Your answer is in above attachment.